<u>Given</u><u> info</u><u>:</u><u>-</u>
Aryan wants to plant a flower on the ground in the form of a rhombus.The diagonals of the rhombus measures 42 cm and 56 cm.
Find the perimeter of the field ?
<u>Explanation</u><u>:</u><u>-</u>
Given that
rhombus.The diagonals of the rhombus measures 42 cm and 56 cm.
Let consider a rhombus ABCD
Let AC = (d1) = 42 cm
Let BD = (d2) = 56 cm
We know that
The digonals of a rhombus bisects each other at 90°.
AC = AO+OC
⇛ AC = 2 AO = 2 OC
⇛ AO = OC = AC/2
⇛ AO = OC = 42/2 = 21 cm
and
BD = BO+OD
⇛ BD = 2 BO = 2 OD
⇛ BO = OD = BD/2
⇛ BO = OD = 56/2 = 28 cm
We have,
∆AOB is a right angled triangle
By Pythagoras theorem,
AB² = AO²+OB²
⇛ AB² = 21²+28²
⇛ AB² = 441+784
⇛ AB² = 1225
⇛ AB = ±√1225
⇛ AB = ±35
AB is the length of the side which cannot be negative.
AB = 35 cm
We know that
All sides are equal in a rhombus
⇛ AB = BC = CD = DA
As we know
The Perimeter of a rhombus = 4×Side units
The perimeter of the rhombus ABCD
⇛ 4AB = 4BC = 4CD = 4DA
⇛ 4×35 cm
⇛ Perimeter = 140 cm
<em>∴</em><em> </em><em>T</em><em>he perimeter of the given field is 140 cm.</em>
Answer:
Let L = length
Let w = width
Perimeter = 2L + 2w
L = 100
Perimeter > 400
2(100) + 2w > 400
200 + 2w > 400 is the inequality
Subtract 200 on both sides of inequality.
2w > 200
w > 100
The width is at least 100 centimeters
Answer:
b^2+4
Step-by-step explanation:
Just combine like terms.
b^2+(6-2)=b^2+4
Answer:yesterday’s was 50 decrease and today is 70 decrease
Step-by-step explanation:
If it was colder yesterday then it could be anything Anything u dear today. :)
Answer:
<em>x∈ -10,4</em>
Step-by-step explanation:
x+3<7, x+3≥0: -(x+3)<7, x+3<0- separate the inequality into 2 possible cases
x<4, x≥-3; x>-10, x<-3- solve the inequalities
x∈ [-3,4}; x∈ {-10,-3}- find the intersection
x∈{-10,4}- Find the union
